#include<bits/stdc++.h>
#define ll long long
#define L x<<1
#define R x<<1|1
#define mid ((l+r)>>1)
#define lc L,l,mid
#define rc R,mid+1,r
#define Root 1,1,n
#define OK Ll<=l&&r<=Rr
#define rep(x,y,z) for(int x=(y);x<=(z);x++)
#define per(x,y,z) for(int x=(y);x>=(z);x--)
#define repn(x) rep(x,1,n)
#define repm(x) rep(x,1,m)
#define pb push_back
#define e(x) for(int i=h[x],y=to[i];i;i=nxt[i],y=to[i])
#define E(x) for(auto y:p[x])
#define Pi pair<int,int>
#define ui unsigned ll
#define yy puts("Yes"),exit(0)
#define nn puts("No"),exit(0)
#define YY return puts("Yes"),void()
#define NN return puts("No"),void()
inline int read(){int s=0,w=1;char c=getchar();while(c<48||c>57) {if(c=='-') w=-1;c=getchar();}while(c>=48&&c<=57)s=(s<<1)+(s<<3)+c-48,c=getchar();return s*w;}
inline void pf(int x){if(x<0) putchar('-'),x=-x;if(x>9)pf(x/10);putchar(x%10+48);}
using namespace std;
const int N=1e6+5,M=1e6+5,inf=(1LL<<30)-1,mod=1e9+7;
const ll llf=1e18;
inline void add(int &a,int b){if(b<0)b+=mod;((a+=b)>=mod) and (a-=mod);}
inline int Add(int a,int b){return add(a,b),a;}
inline int mul(int a,int b){add(b,mod);return 1LL*a*b%mod;}
inline void Mul(int &a,int b){a=mul(a,b);}
inline void red(int &a,int b){add(a,mod-b);}
inline int Red(int a,int b){return red(a,b),a;}
inline int qp(int a,ll b){if(!b)return 1;int c=qp(a,b>>1LL);Mul(c,c);if(b&1)Mul(c,a);return c;}
inline int INV(int x){return qp(x,mod-2);}
inline bool che(int x,int p){return (x>>p)&1LL;}
int n,a[N];
inline void Main(){
	n=read();
	repn(i)a[i]=read();
	sort(a+1,a+n+1);
	if(n==2)return cout <<a[2]-a[1],void();
	if(a[n-1]==0)return cout <<(ll)(n-1)*a[n],void();
	if(n%2==0&&a[n/2]==a[1]&&a[n/2+1]==a[n]){
		cout <<(ll)n*n/4*(a[n/2+1]-a[n/2]);
		return;
	}
	per(i,n,1)a[i]-=a[1];
	ll Nw=a[1],ex=0,ans=0;//Nw+ex/(i-1)
	rep(i,2,n){
		if(!ex){
			ans+=(ll)(a[i]-Nw)*(i-1);
			ll Del=a[i]-Nw,d=Del/i,res=Del%i;
			Nw+=d,ex=res;
		}else {
			ans+=(ll)(a[i]-Nw-1)*(i-1)+(i-1)-ex;
			ex++;
			ll Del=a[i]-Nw-1,d=Del/i,res=Del%i;
			Nw+=d,ex+=res;
			if(ex>=i)Nw++,ex-=i;
		}
	}

	cout <<ans;
}
signed main(){
	freopen("india.in","r",stdin);
	freopen("india.out","w",stdout);
	int T=1;
	while(T--)Main();
	return 0;
}
